Phase Transitions in the Four-Component Potts Model on a Triangular Lattice

The Monte Carlo method is used to perform the simulation of four-component Potts model on a triangular lattice. Systems with linear dimensions of L × L = N and L = 10–160 are considered. Phase transitions in terms of the considered Potts model are studied using fourth-order Binder cumulants and histogram analysis of data. It is shown that, in the four-component Potts model on a triangular lattice, second-order transitions are observed.